19982800 has 30 divisors (see below), whose sum is σ = 48009638. Its totient is φ = 7992960.

The previous prime is 19982797. The next prime is 19982819. The reversal of 19982800 is 828991.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 19678096 = 552^2 + 4436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19982800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24579 + ... + 25378.

Almost surely, 2^19982800 is an apocalyptic number.

19982800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19982800 is an abundant number, since it is smaller than the sum of its proper divisors (28026838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19982800 is a wasteful number, since it uses less digits than its factorization.

19982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49975 (or 49964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 19982800 is about 4470.2125229121. The cubic root of 19982800 is about 271.3639260373.

The spelling of 19982800 in words is "nineteen million, nine hundred eighty-two thousand, eight hundred".